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Finding the Fourth Proportional to 9,952.39, 14,928.57 and 6,822.91

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Solution

The fourth proportional to 9,952.39, 14,928.57 and 6,822.91 is: 10,234.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,952.39 : 14,928.57 = 6,822.91 : x
  2. Step 2: Convert to fraction form
    9,952.39/14,928.57 = 6,822.91/x
  3. Step 3: Cross multiply
    9,952.39x = 14,928.57 × 6,822.91
  4. Step 4: Simplify right side
    9,952.39x = 101,856,266.21
  5. Step 5: Solve for x
    x = 101,856,266.21/9,952.39
  6. Step 6: Final answer
    x = 10,234.36

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.